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The area of each of the three circular regions in the figure

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Carcass

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Joined: 18 Apr 2015

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The area of each of the three circular regions in the figure [#permalink]

01 Feb 2017, 13:47

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GRE - powerprep The area of each of the three circular regions in the figure shown is 40.jpg [ 11.78 KiB | Viewed 15610 times ]

The area of each of the three circular regions in the figure shown is 40, and the area of the intersection of any of the two of the circular regions is 15.

Quantity A	Quantity B
The sum of the areas of the shaded regions	30

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

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GREcrusher

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Re: The area of each of the three circular regions in the figure [#permalink]

26 Nov 2019, 06:54

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Tricky part: Move the little shaded part from the one circle to the other:

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sandy

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GRE 1: Q167 V156

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Re: The area of each of the three circular regions in the figure [#permalink]

08 Feb 2017, 22:57

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Explanation

Now redrawing the figure given in question as:

Now area A is intersection of two circles and area B is same as area C.

So the shaded area can be thought of as Area of a complete circle - area of intersection of two circles.

Thus Shaded area = 40 - 15 = 25.

Clearly Quantity B is greater.

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Quentin

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Re: The area of each of the three circular regions in the figure [#permalink]

22 Jan 2020, 05:45

GREcrusher wrote:

Tricky part: Move the little shaded part from the one circle to the other:

this is the best explanation

bumpbot

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Re: The area of each of the three circular regions in the figure [#permalink]

17 Apr 2022, 22:25

Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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